Well noticed something about complex numbers may be not they are quite mysterious number which lies in the higher dimensions of mathematics second dimension of mathematics. A zeroth dimension is division by zero 1st dimension is a number line and the second dimension is a complex number line. Let's see what actually are they, A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z. Here both a and b are real numbers. The value 'a' is called the real part which is denoted by Re(z), and 'b' is called the imaginary part Im(z). Also, ib is called an imaginary number.

Complex numbers are helpful in finding the square root of negative numbers. The concept of complex numbers was first referred to in the 1st century by a greek mathematician, Hero of Alexandria when he tried to find the square root of a negative number. But he merely changed the negative into positive and simply took the numeric root value. Further, the real identity of a complex number was defined in the 16th century by Italian mathematician Gerolamo Cardano, in the process of finding the negative roots of cubic and quadratic polynomial expressions.

Complex numbers have applications in many scientific research, signal processing, electromagnetism, fluid dynamics, quantum mechanics, and vibration analysis. Here we can understand the definition, terminology, visualization of complex numbers, properties, and operations of complex numbers.
The alphabet i is referred to as the iota and is helpful to represent the imaginary part of the complex number. Further the iota(i) is very helpful to find the square root of negative numbers. We have the value of i² = -1, and this is used to find the value of √-4 = √i²4 = +2i The value of i²= 1 is the fundamental aspect of a complex number. Let us try and understand more about the increasing powers of i. i = √-1

Now to know more watch this video till the end.

Mathematical dimension part 1-    • गणित के इन विचित्र आयामों को खुद Rama...  

Division by zero -    • why we can't divide by zero in hindi  

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Complex Numbers के जादुई आयाम जो आपके दिमाग को हिला देंगे | Power of imaginary numbers


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